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30297168 = 24321131617
BaseRepresentation
bin111001110010…
…0110001010000
32010000020220100
41303210301100
530224002133
63001212400
7515343636
oct163446120
963006810
1030297168
1116113790
12a191100
13637a325
144049356
1529d6e13
hex1ce4c50

30297168 has 120 divisors (see below), whose sum is σ = 95636736. Its totient is φ = 8870400.

The previous prime is 30297167. The next prime is 30297181. The reversal of 30297168 is 86179203.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30297161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48796 + ... + 49412.

Almost surely, 230297168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30297168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47818368).

30297168 is an abundant number, since it is smaller than the sum of its proper divisors (65339568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30297168 is a wasteful number, since it uses less digits than its factorization.

30297168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 30297168 is about 5504.2863297616. The cubic root of 30297168 is about 311.7458482538.

The spelling of 30297168 in words is "thirty million, two hundred ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 617 682 744 792 1023 1116 1234 1364 1488 1584 1851 2046 2232 2468 2728 3069 3702 4092 4464 4936 5456 5553 6138 6787 7404 8184 9872 11106 12276 13574 14808 16368 19127 20361 22212 24552 27148 29616 38254 40722 44424 49104 54296 57381 61083 76508 81444 88848 108592 114762 122166 153016 162888 172143 210397 229524 244332 306032 325776 344286 420794 459048 488664 631191 688572 841588 918096 977328 1262382 1377144 1683176 1893573 2524764 2754288 3366352 3787146 5049528 7574292 10099056 15148584 30297168